(i) Find the coordinates of the centroid P of the ▵ABC, whose vertices are A(-1, 3), B(3, -1) and C(0, 0). Hence, find the equation of a line passing through P and parallel to AB.

(ii) In the given figure PT is a tangent to the circle. Chord BA produced meets the tangent PT at P.
Given PT=20cm and PA= 16cm.
(a) Prove ▵PTB ~▵PAT
(b) Find the length of AB.


(iii) The following bill shows the GST rate and the marked price of articles:

Find the total amount to be paid (including GST) for the above bil.

Solution

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